Title: The Langlands-Kottwitz method and l-adic cohomology of some Shimura varieties
Speaker: 申旭 ()
Time: 2015-1-29, 10:00-11:30
Place: N817
Abstract: We determine the Galois representations inside the l-adic cohomology of certain Shimura varieties with bad reductions by the method of Langlands-Kottwitz. Here, some new phenomenons will appear when the local reductive groups are not quasi-split. For example, the usual Kottwtiz triples are not enough to parameterize the points on these Shimura varieties over finite fileds, and among others, one has to prove a vanishing result for the test functions to get the correct counting points formula.
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